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Finding the Fourth Proportional to 165,370, 248,055 and 48,634

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Solution

The fourth proportional to 165,370, 248,055 and 48,634 is: 72,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,370 : 248,055 = 48,634 : x
  2. Step 2: Convert to fraction form
    165,370/248,055 = 48,634/x
  3. Step 3: Cross multiply
    165,370x = 248,055 × 48,634
  4. Step 4: Simplify right side
    165,370x = 12,063,906,870
  5. Step 5: Solve for x
    x = 12,063,906,870/165,370
  6. Step 6: Final answer
    x = 72,951

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.